On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period
Joint Authors
Xie, Dehui
Dai, Yanfei
Gao, Shujing
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-22
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A five-dimensional nonautonomous schistosomiasis model which include latent period is proposed and studied.
By constructing several auxiliary functions and using some skills, we obtain some sufficient conditions for the extinction and permanence (uniform persistence) of infectious population of the model.
New threshold values of integral form are obtained.
For the corresponding autonomous schistosomiasis model, our results are consistent with the past results.
For the periodic and almost periodic cases, some corollaries for the extinction and permanence of the disease are established.
In order to illustrate our theoretical analysis, some numerical simulations are presented.
American Psychological Association (APA)
Gao, Shujing& Dai, Yanfei& Xie, Dehui. 2016. On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1103621
Modern Language Association (MLA)
Gao, Shujing…[et al.]. On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-15.
https://search.emarefa.net/detail/BIM-1103621
American Medical Association (AMA)
Gao, Shujing& Dai, Yanfei& Xie, Dehui. On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-15.
https://search.emarefa.net/detail/BIM-1103621
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103621